SOLUTION: Please find derivative and simplfy: y= x^3e^-2x y= square root e^x y= square root lnx y= ln square root x y= e^x^2e^2x Thanks alot! i'm so confused!

Question 59400: Please find derivative and simplfy:
y= x^3e^-2x
y= square root e^x
y= square root lnx
y= ln square root x
y= e^x^2e^2x
Thanks alot! i'm so confused!

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
d/dx[x^n]=nx^(n-1)
d/dx[cf(x)]=cf'(x)
d/dx[ln(x)]=1/x
d/dx[e^x]=e^x
Product rule: d/dx[f(x)g(x)]=f(x)g'(x)+g(x)f'(x)
Chain Rule: d/dx[f(g(x))]=f'(g(x))*g'(x)
Please find derivative and simplfy:
:

Product rule
Chain rule

Many Teachers are happy now and you can stop.
A lot of books want you to factor it like this.
:
---> --->
Chain Rule

Usually you can stop here.

:
-->
Chain Rule

Sometimes you can stope here
Most of the time you can stop here.
A lot of books say this.
:
--->--->

:
-->
chain rule
Most teachers are thrilled with this.
You can factor out the 2 if you want to.
:
Happy Calculating!!!

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